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Finding the Third Proportional to 188,410 and 409,543

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Solution

The third proportional to 188,410 and 409,543 is: 890,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,410 : 409,543 = 409,543 : x
  2. Step 2: Convert to fraction form
    188,410/409,543 = 409,543/x
  3. Step 3: Cross multiply
    188,410x = 409,543 × 409,543
  4. Step 4: Simplify right side
    188,410x = 167,725,468,849
  5. Step 5: Solve for x
    x = 167,725,468,849/188,410
  6. Step 6: Final answer
    x = 890,215.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.